The estimated product of 20.7 and 9.18, after rounding both factors to the nearest whole number, is . The exact product of 20.7 and 9.18 has decimal places.

[tex](a+b+c)^2=a^2+b^2+c^2+2ab+2ac+2bc\\a^2+b^2+c^2=(a+b+c)^2-2ab-2ac-2bc\\a^2+b^2+c^2=(a+b+c)^2-2(ab+ac+bc)\\\\m^2+n^2+p^2=10^2-2\cdot 27=100-54=46[/tex]

Answer:

61

Step-by-step explanation:

3 x 4 x 5 = 60

30 + 1 = 61

Answer:

Not sure if this will help but that looks like a bisection of angles BAC and TSR.

Answer:

1.46666666667 feet per second

Step-by-step explanation:

60 miles per hour = 88 feet per second

=> 60/60 miles per hour = 88/60 feet per second

=> 1 mile per hour = 1.46666666667 feet per second

Answer:

a² + 2ab + b²

Step-by-step explanation:

Given

(a + b)²

= (a + b)(a + b)

Each term in the second factor is multiplied by each term in the first factor, that is

a(a + b) + b(a + b) ← distribute both parenthesis

= a² + ab + ab + b² ← collect like terms

= a² + 2ab + b²

Answer:

In a 2001 game, during which he came to bat 3 times, Ichiro could expect to get at least 1 hit. That is, E(X) >1

Step-by-step explanation:

Answer: 0.457

Step-by-step explanation:

Answer:

Trinomial  of degree 2

Step-by-step explanation:

The given expression cannot be reduce any further as far as number of terms (there are no like terms in it), so it is a trinomial.

Also, the largest power for the variable  init (y) is the power 2, therefore it is a trinomial of degree 2.

Answer:

x = 1/2 or 0.5

Step-by-step explanation:

5x - 2(2x-2) = 2(3x - 1) + 7/2

= 5x - 4x + 4 = 6x - 2 + 7/2

= 5x + 4 = 10x - 2 + 7/2

= 5x + 6 = 10x + 7/2

= 5x + 2.5 = 10x

= 2.5 = 5x

Thus, x = 1/2 or 0.5

Hope this helps!

Answer:

30 lamps

Step-by-step explanation:

30*2= 60

Answer:

Stationery section will be 4 feet wide.

Step-by-step explanation:

Total area of bookstore = 288 sq ft

Area to be devoted to stationery = [tex]\frac{1}6[/tex] of total area = [tex]\frac{1}{6} \times 288 = 48\ sq\ ft[/tex]

Length of stationery section = 12 ft

To find:

Width of stationery section = ?

Solution:

First of all, let us have a look at the area of rectangle:

[tex]A = Length \times Width[/tex]

Here, we are given the length for stationery section and area of stationery section has been calculated above.

And we have to find the Width of stationery section.

So, let us put the two values to find the third value.

[tex]\Rightarrow 48 = 12 \times Width\\\Rightarrow Width = \dfrac{48}{12}\\\Rightarrow \bold{Width = 4\ ft}[/tex]

So, the answer is:

Stationery section will be 4 feet wide.

Answer:

4968

Step-by-step explanation:

432 is 8% of 5400 and after deducting 432 we get 4968.

Answer:

no solutions

Step-by-step explanation:

2y = 4x+6

y = 2x+6

Divide the first equation by 2

y = 2x+3

These are parallel lines ( same slope) but different y intercepts

They will never intersect, so they have no solutions

Answer:

B   No solutions

Step-by-step explanation:

2y = 4x + 6       first equatión

 y  = 2x + 6       second equation

from the first equation

y = (4x+6)/2

y = 4x/2 + 6/2

y = 2x + 3       third equation

matching second equatión and third equation

2x + 6 = 2x + 3

2x - 2x = 3 - 6

0 ≠ -3

then:

Β  No solutions

Answer:

x-6/2=2x/7

7x-42=4x

7x-4x=42

3x= 42

X = 42/3

Answer:

w=10

Step-by-step explanation:

-2=-(w-8)

2=w-8

w=10

Question:

-2=-(w-8)

Answer:

-2=-w+8

w=8+2

w=10

Step-by-step explanation:

Answer: Both

Step-by-step explanation:

Given: The regression equation for a set of paired data is [tex]\hat{y}=6+4x[/tex].  The correlation coefficient for the data is 0.92.

A new data point(13,74) is added to the set.

Put x= 13 , we get

[tex]\hat{y}=6+4(13)=6+52=58[/tex].

Predicted value of y= 58 which is different from 74.

So, the new data point(13,74) is an influential point as it can affect the slope.

Thus, (13,74) is both outlier and influential point.

Hence, the correct option is "Both".

Answer:

mean: 73.2

mode : 85

range:47

median: 78.5

Step-by-step explanation:

85,58,72,85,46,93

first put the numbers in order from least to highest

46,58,72,85,85,93

mean: is the sum of the terms divided by the number of terms

(85+85+72+58+46+93)/6=73.2 ( rounded to the nearest tenth)

mode : is the element that occurs the most: in this case it is 85 occurs twice

range : subtract the minimum data from max. data: 93-46=47

median : is the middle number, in this case it is even so take the middle two numbers and divide by 2: 85+72/2= 157/2=78.5

median = 78.5

The mean value is 73.

The mode value is 85.

The range value is 47.

The median value is 78.5.

It is the average value of the set given.

It is calculated as:

Mean = Sum of all the values of the set given / Number of values in the set

We have,

85,58,72,85,46,93

Mean = (85 + 58 + 72 + 85 + 46 + 93) / 6

Mean = 73

Mode is the number that occurs the most times in the set.

Mode = 85.

Range = Highest value - Lowest value.

Range = 93 - 46 = 47.

The Median is the middle value after arranging the set in order.

46, 58,72,85, 85, 93

Median = (72 + 85) / 2

Median = 78.5

Thus,

The means is 73.

The mode is 85.

The range is 47.

The median is 78.5.

Learn more about mean here:

https://brainly.com/question/23263573

#SPJ2

Answer:

3x³ + 16x² + 12x - 16

Step-by-step explanation:

(x - -4)(3x² + 4x - 4)

(x + 4) (3x² + 4x - 4)

3x³ + 4x² - 4x + 12x² + 16x - 16

3x³ + 4x² + 12x² - 4x + 16x - 16

3x³ + 16x² + 12x - 16

Answer:

40.

Step-by-step explanation:

Let J represent jelly snake.

Let L represent lollipops

Let S represent sample space

Let y represent the number of jelly snake in the bag. I.e

Number of J = y

Number of L = 10

Number of S = 10 + y

From the question given, we were told that the probability of jelly snake P(J) is 4/5.

But probability of jelly snake, P(J) is given by:

P(J) = nJ/nS

nJ = y

nS = 10 + y

P(J) = 4/5

Thu, we can obtain the number jelly snake, y, in the bag as follow:

P(J) = nJ/nS

4/5 = y/(10 + y)

Cross multiply

5y = 4(10 + y)

Clear bracket

5y = 40 + 4y

Collect like terms

5y – 4y = 40

y = 40

Therefore, the number of jelly snake in the bag is 40

Answer:

h= 9.473684 in.

Step-by-step explanation:

1/2(8)(15)*2+2(15h)+8h=480

120+38h=480

38h=480-120

38h=360

h= 9.473684 in.

Answer:

820

Step-by-step explanation:

41.2 * 19.8 = 41 *20 = 820

41.2

In this tenth value is 2 which is less than 5. So ignore it and write the whole number alone. 41

19.8

In this tenth value is 8 awhich greater than 5. So add 1 to whole part and write.

19+1 = 20

Answer:

Positive

Step-by-step explanation:

negative times negative is postive positive times negative is negative

Answer:

A positive.

Step-by-step explanation:

Let's replace these with numbers.

-1 · 2  · (-3)

A negative times a positive will always equal a negative. So, we have:

-2 · (-3)

Any numbers with the same sign (positive or negative)  multiplied by each other will equal a positive. Since we have two negatives and we're multiplying them, our result will be a positive number.

6

Hope this helps!! <3 :)

Hey there! I'm happy to help!

Let's represent the total number of marbles with the variable t. We have the following information.

1/2t+1/6t+8=t (1/2 of total are red, 1/6 of total are blue, 8 are white, add them up to get total)

Now, we solve for t.

1/2t+1/6t+8=t

We combine like terms.

2/3t+8=t

We subtract t from both sides.

-1/3t+8=0

We subtract 8 from both sides.

-1/3t=-8

We divide both sides by -1/3.

t=24

Therefore, there ae 24 total marbles in the bag.

Have a wonderful day! :D

The total number of marbles will be 7/2.

What is Addition?

A process of combining two or more numbers is called addition.

Given that;

Half the marbles in a bag are red, 1/6 of the marbles are blue, and the remaining 8 marbles are white.

Now,

Since, Half the marbles in a bag are red, 1/6 of the marbles are blue, and the remaining 8 marbles are white.

Hence, Total number of marbles = 1/2 + 1/6 + 8

                                                   = 8 / 12 + 8

                                                   = 4 / 3 + 8

                                                   = 28/8

                                                   = 7/2

Thus, The total number of marbles will be 7/2.

Learn more about the addition visit:

https://brainly.com/question/25421984

#SPJ2

Answer:

Step-by-step explanation:

[tex]6\sqrt{x-2}+4<28\\6\sqrt{x-2}<28-4\\\sqrt{x-2}<\frac{24}{6}\\\sqrt{x-2}<4\\\\x-2 <16\\x<16-2\\x<14x-2 \geq 0\\x\geq 2\\so~2 \leq x < 14[/tex]

Answer:

18

Step-by-step explanation:

One way to solve this would be to just solve for random lengths, left to right, until we come to find UC.

We know JK = JH + HM + MK = 82 and JH = 22, so

82 = 22 + HM + MK

subtract 22 from both sides to isolate the unknowns

60 = HM + MK = HK

96 = HK + KU - HU

We know HK = 60

96 = 60 + KU

subtract 60 from both sides to isolate the unknown

We know KU = 36

105 = KN = KU + UC + CN

We know KU = 36 and CN = 51

105 = 36 + 51 + UC

105 = 87 + UC

subtract 87 from both sides to isolate the unknown

18 = UC

UC is what we're looking for, so the problem is solved

Answer:

173.4

Step-by-step explanation:

Surface area of the cone=pi*r*l+pi*r^2=pi*(4)*(9.8+4)=173.4

Answer:

0.136

Step-by-step explanation:

Answer:

3/22

Step-by-step explanation:

for decimal dorm it is 0.136

Answer:

third option

Step-by-step explanation:

In a linear relationship, the y variable is the dependent variable (meaning that it depends on the independent variable) and the x variable is the independent variable. Basically, y depends on x, and since in this case, by looking at the graph, we know that y is the total price and x is the number of pounds of tomatoes, the answer is the total price depends on the number of pounds.

Answer:

May-June

Step-by-step explanation:

Notice that:

● during April-May period the Badminton memberships rate of increase is greather then Swimming's since the graph of Badminton is showing a faster increase.

● During June-July period, both functions are decreasing so this period does not satisfy our condition.

● During May-June The Swimming memberships growed faster than Badminton's so its rate of increase is greather than Badminton's.

● during August-September period, The swimming memeberships are increasing slower than Badminton's

So the answer is May-June

Answer:

May-June

Step-by-step explanation:

Answer:  4/7

Step-by-step explanation:

the number of chairs = 7

the number of cushions = 11

Every chair has at least 1 cushion. There are 7 chairs so 7 cushions are used.

There is a total of 11 cushions and 7 cushions are already distributed to the chairs so there are 4 chairs with a 2nd cushion.

Chairs with 2 cushions ÷ Total chairs = 4/7